Questions in the attached image, thank you in advance. (a) A group of order 142020 containing a subgroup of order 7.(b) A group G acting on a set X, such that there exists x € X for which the stabilizer G is not anormal subgroup of G.(c) A ring homomorphism 4: R[x, y] → Z[z] with y(R[x, y]) ‡ {0} whose kernel is not a primeideal (x, y, z are independent variables).

The order of the group is Then the group contain a subgroup of order Note: According to the…

Answered: (a) A group of order 142020 containing…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.6: Quotient Groups

Problem 32E: 32. Let be a fixed element of the group . According to Exercise 20 of section 3.5, the mapping ...

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